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Finding the Fourth Proportional to 269.15, 403.15 and 140.63

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Solution

The fourth proportional to 269.15, 403.15 and 140.63 is: 210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.15 : 403.15 = 140.63 : x
  2. Step 2: Convert to fraction form
    269.15/403.15 = 140.63/x
  3. Step 3: Cross multiply
    269.15x = 403.15 × 140.63
  4. Step 4: Simplify right side
    269.15x = 56,694.98
  5. Step 5: Solve for x
    x = 56,694.98/269.15
  6. Step 6: Final answer
    x = 210.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.